<p>In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented. The application of this method has led to interesting problems of the Dirichlet type for third order differential equations, the solvability of which appea
Integral geometry and inverse problems for kinetic equations
โ Scribed by Amirov, A. Kh
- Publisher
- VSP
- Year
- 2001
- Tongue
- English
- Leaves
- 213
- Series
- Inverse and ill-posed problems series
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
IntroductionSolvability of problems of integral geometryTwo-dimensional inverse problem for the transport equationThree-dimensional inverse problem for the transport equationSolvability of the problem of integral geometry along geodesicsA planar problem of integral geometryCertain problems of tomographyInverse problems for kinetic equationsThe problem of integral geometry and an inverse problem for the kinetic equationLinear kinetic equationA modification of problem 2.2.1One-dimensional kinetic equationEquations of the Boltzmann typeThe Vlasov systemSome inverse and direct problems for the kinetic equationEvolutionary equationsThe Cauchy problem for an integro-differential equationThe problems (3.1.1) - (3.1.2) for m = 2k + 1, p = 1 (the case of nonperiodic solutions)Boundary value problemsThe Cauchy problem for an evolutionary equationInverse problem for an evolutionary equationInverse problems for second order differential equationsQuantum kinetic equationUltrahyperbolic equationOn a class of multidimensional inverse problemsInverse problems with concentrated dataAppendixBibliography
โฆ Subjects
Geฬomeฬtrie inteฬgrale;Probleฬmes inverses (eฬquations diffeฬrentielles)
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